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Search: Posts Made By: Dobri
Forum: Dobri 2022-10-01, 17:22
Replies: 7
Views: 2,270
Posted By Dobri
Let me clarify that my post was concerned with...

Let me clarify that my post was concerned with the minimal bases bmin > 1 in which the exponents of Mersenne primes are palindromic.
Thanks for extending the list to all possible bases b up to b = n...
Forum: Dobri 2022-10-01, 10:48
Replies: 7
Views: 2,270
Posted By Dobri
Below is a list of the bases in which the...

Below is a list of the bases in which the exponents of the known Mersenne primes are palindromic.

Exponent, Base
2, 3
3, 2
5, 2
7, 2
13, 3
17, 2
19, 18
Forum: Marin's Mersenne-aries 2022-09-18, 18:40
Replies: 859
Views: 148,740
Posted By Dobri
Thanks, Jan S., for the completed CERT...

Thanks, Jan S., for the completed CERT verification of M332192747.
Forum: Marin's Mersenne-aries 2022-09-14, 09:07
Replies: 859
Views: 148,740
Posted By Dobri
Please assign a reliable user for the CERT of...

Please assign a reliable user for the CERT of M332192747.
Several -Anonymous- assignments (with 0.0% done) took place since 2022-09-09 (without showing the expiration of the previous ones).
Forum: Dobri 2022-09-08, 16:57
Replies: 7
Views: 2,270
Posted By Dobri
M100707001 (Verified) The smallest unverified...

M100707001 (Verified)
The smallest unverified Mersenne numbers with palindromic exponents currently are
M100767001, M101282101, M101343101, M101424101, M101474101, M101717101, M101777101,...
Forum: Hardware 2022-09-06, 09:06
Replies: 8
Views: 380
Posted By Dobri
Essential maintenance and minor upgrades could...

Essential maintenance and minor upgrades could prolong the usefulness of old computers for DC tests.
For instance, one could detect high temperatures of the CPU cores with CoreTemp (see...
Forum: Dobri 2022-09-04, 04:35
Replies: 7
Views: 2,270
Posted By Dobri
The smallest unfactored Mersenne numbers with...

The smallest unfactored Mersenne numbers with palindromic exponents currently are
M15451, M16061, M17471, M31013, M35753, M37573, M38083, M74047, M77477, M78787, M96269, M97379, M98389, M1035301,...
Forum: PrimeNet 2022-08-23, 08:39
Replies: 2,530
Views: 335,133
Posted By Dobri
Awesome! Thanks, Prime95.

Awesome! Thanks, Prime95.
Forum: PrimeNet 2022-08-23, 05:37
Replies: 2,530
Views: 335,133
Posted By Dobri
Please consider cancelling all assignments of...

Please consider cancelling all assignments of users with closed accounts like tuluc.alexandru, etc., their GIMPS accounts seem to be closed but their assignments are still active.
For instance, I...
Forum: Dobri 2022-08-23, 05:14
Replies: 22
Views: 2,709
Posted By Dobri
There is no special reason, often my automated...

There is no special reason, often my automated script configures the TF tests listed in a queue to start from the lowest 21 value.
As concerned with reliability, the TF tests have no error...
Forum: Dobri 2022-08-23, 01:14
Replies: 75
Views: 7,188
Posted By Dobri
Examples of the first Mersenne numbers for which...

Examples of the first Mersenne numbers for which there are three consecutive factors for a given value of k3 with k3 = k2 + k1 are:
- M1527857 with factors {21389999, 12222857, 9167143}. Here 7 = 4...
Forum: Dobri 2022-08-22, 12:03
Replies: 75
Views: 7,188
Posted By Dobri
One could have better read between the lines and...

One could have better read between the lines and understood that me "searching the entire GIMPS database" happened as much as someone else was "reducing battalions of supercomputers to molten slag"....
Forum: Dobri 2022-08-20, 05:26
Replies: 75
Views: 7,188
Posted By Dobri
Post #62 is concerned with arbitrary primes p,...

Post #62 is concerned with arbitrary primes p, placing additional conditions on p gives further refinements indeed.
Forum: Dobri 2022-08-19, 10:34
Replies: 22
Views: 2,709
Posted By Dobri
This one is for the less ambitious lads and gals,...

This one is for the less ambitious lads and gals, a notch below the 332,192,809 100-MDigit threshold, please consider the DC of M332192779.
Forum: Dobri 2022-08-19, 09:57
Replies: 75
Views: 7,188
Posted By Dobri
On the contrary, a waste of computing power was...

On the contrary, a waste of computing power was avoided.
This made it possible to obtain the results in post #62 much faster than the ones posted earlier.
After stumbling upon this result during...
Forum: Dobri 2022-08-18, 12:00
Replies: 75
Views: 7,188
Posted By Dobri
... k = 19: 3 + 24 = 22 + 15 = 7 + 12 = 19; k...

...
k = 19: 3 + 24 = 22 + 15 = 7 + 12 = 19;
k = 20: 3 + 17 = 5 + 15 = 23 + 12 = 9 + 11 = 20;
k = 21: 1 + 20 = 22 + 17 = 5 + 24 = 23 + 13 = 9 + 12 = 21;
k = 22: None;
k = 23: 3 + 20 = 23 + 15 =...
Forum: Dobri 2022-08-18, 01:06
Replies: 75
Views: 7,188
Posted By Dobri
k = 17: 5 + 12 = 23 + 9 = 17; k = 18: None.

k = 17: 5 + 12 = 23 + 9 = 17;
k = 18: None.
Forum: Dobri 2022-08-18, 00:57
Replies: 75
Views: 7,188
Posted By Dobri
k = 16: 1 + 15 = 3 + 13 = 4 + 12 = 7 + 9 = 16.

k = 16: 1 + 15 = 3 + 13 = 4 + 12 = 7 + 9 = 16.
Forum: Dobri 2022-08-18, 00:37
Replies: 75
Views: 7,188
Posted By Dobri
k = 14: None; k = 15: 3 + 12 = 7 + 23 = 11 + 22...

k = 14: None;
k = 15: 3 + 12 = 7 + 23 = 11 + 22 = 15.
Forum: Dobri 2022-08-17, 14:22
Replies: 75
Views: 7,188
Posted By Dobri
Affirmative, this is a new category, although 4 =...

Affirmative, this is a new category, although 4 = 22 and 9 was already included as 5 + 22 = 9 in the expanding scheme of values of k.
A distant loose analogy with a growing Pascal's triangle comes...
Forum: Dobri 2022-08-17, 10:10
Replies: 75
Views: 7,188
Posted By Dobri
No cases have been forgotten. In the quoted...

No cases have been forgotten.
In the quoted example, 237-1 = 137438953471, then 13743895347 / 223 = 616318177, and k2 = (616318177-1)/(2×37) = 8328624, thus Δk = 8328624 - 3 = 8328621 = 3×7×396601,...
Forum: Dobri 2022-08-17, 03:21
Replies: 75
Views: 7,188
Posted By Dobri
For k = 12, all possible pairs of two factors for...

For k = 12, all possible pairs of two factors for a given Mersenne number are observed with Δk = 1, 3, 4, 5, 7, 8, 9, and 11, where Δk = k2 - k1 with k2 = 12 and k2 > k1. No cases of three factors...
Forum: Dobri 2022-08-14, 07:59
Replies: 75
Views: 7,188
Posted By Dobri
Thanks, this flawlessly eliminates the cases for...

Thanks, this flawlessly eliminates the cases for k = 12m + 8 and 12m + 11 indeed.
Also, divisibility by 3 is observed for k = 12m + 5 since 2(12m + 5)(6n + 5) + 1 gives the coefficient 2×5×5 + 1 =...
Forum: Dobri 2022-08-13, 10:15
Replies: 75
Views: 7,188
Posted By Dobri
Thanks, this nicely eliminates the cases for k =...

Thanks, this nicely eliminates the cases for k = 12m + 1, 12m + 5, and 12m + 9 indeed.

However, the cases for k = 12m + 8 and 12m + 11 still need a theoretical interpretation.
I do not have a...
Forum: Dobri 2022-08-11, 11:10
Replies: 75
Views: 7,188
Posted By Dobri
A repetitive pattern in observed after k = 12 for...

A repetitive pattern in observed after k = 12 for the primes p and the values of k for which primes 2kp + 1 can be found that divide the Mersenne numbers 2p - 1,
see the previous posts #29 and #30...
Showing results 1 to 25 of 365

 
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